A) 1
B) 2
C) 3
D) 4
Correct Answer: A
Solution :
\[f(x)=\frac{{{\cos }^{2}}x+{{\sin }^{4}}x}{{{\sin }^{2}}x+{{\cos }^{4}}x}\]Þ \[f(x)=\frac{{{\cos }^{2}}x+{{\sin }^{2}}x(1-{{\cos }^{2}}x)}{{{\sin }^{2}}x+{{\cos }^{2}}x(1-{{\sin }^{2}}x)}\] Þ \[f(x)=\frac{{{\sin }^{2}}x+{{\cos }^{2}}x-{{\sin }^{2}}x{{\cos }^{2}}x}{{{\sin }^{2}}x+{{\cos }^{2}}x-{{\sin }^{2}}x{{\cos }^{2}}x}\] Þ \[f(x)=1\] Þ \[f(2002)=1\].You need to login to perform this action.
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